Distributive property and Combine like terms

k = 55

Step-by-step explanation:

First clear the fraction by multiplying all three terms by 5.  We get:

k - 10 = 45

Adding 10 to both sides results in

k = 55          (after having combined like terms)

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value